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Showing 1 to 20 of 35 for “"Settore MAT/05 - Analisi Matematica"”.
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REGULARITY RESULTS FOR QUASILINEAR EQUATIONS OF ANISOTROPIC TYPE AND OF MIXED LOCAL-NONLOCAL TYPE
La seguente tesi ha come obiettivo quello di studiare la regolarita' interna e al bordo per soluzioni di equazioni ellittiche quasilineari. In particolare, si studia la regolarita' del secondo ordine delle soluzioni di equazioni nonlineari in cui operatore e' di tipo locale ed anisotropo. Inoltre, …
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Intrinsic Lipschitz graphs in Heisenberg groups and non linear sub-elliptic PDEs
… In particular we provide a regular approximation result and a Poincarè type inequality for this class of functions. Moreover we study the obstacle problem in the Heisenberg group and we prove a geometric Poincarè inequality for a class of semilinear equations in the Engel group.
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On some optimal control problems on networks, stratied domains, and controllability of motion in fluids.
… and cost. We consider some possible approximations for such a problems given by the use of a switching rule of delayed-relay type and study the passage to the limit when the parameter of the approximation goes to zero. First, we take into account some problems on network: a twofold junction …
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Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot groups
The main object of our research is the notion of "intrinsic regular surfaces" introduced and studied by Franchi, Serapioni, Serra Cassano in a Carnot group G. More precisely, an intrinsic regular hypersurface (i.e. a topological codimension 1 surface) S is a subset of G which is locally defined as …
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Human Behavior in Epidemic Modelling
Mathematical models represent a powerful tool for investigating the dynamics of human infection diseases, providing useful predictions about the spread of a disease and the effectiveness of possible control measures. One of the central aspects to understand the dynamics of human infection is the …
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Curvature-dependent functionals: applications to membrane models and geometric flows
L'abstract è presente nell'allegato / the abstract is in the attachment
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Nonstandard Models in Measure Theory and in functional Analysis
This thesis is concerned with the study of nonstandard models in measure theory and in functional analysis. In measure theory, we define elementary numerosities, that are additive measures that take on values in a non-archimedean field and for which the measure of every singleton is 1. We have …
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On problems in homogenization and two-scale convergence
… which are connected by a thin layer of interface material being perforated by identically shaped voids. Herein, the voids recur periodically in interface direction and shall in size be of the same order as the interface thickness. Moreover, the constitutive properties of the material occupying the …
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